Definition of Borel. Meaning of Borel. Synonyms of Borel

- after Émile Borel Borel algebra, operating on Borel sets, named after Émile Borel, also: Borel measure, the measure on a Borel algebra Borel distribution...
- complement. Borel sets are named after Émile Borel. For a topological space X, the collection of all Borel sets on X forms a σ-algebra, known as the Borel algebra...
- mathematics, a Borel isomorphism is a measurable bijective function between two standard Borel spaces. By Souslin's theorem in standard Borel spaces (which...
- Félix Édouard Justin Émile Borel (French: [bɔʁɛl]; 7 January 1871 – 3 February 1956) was a French mathematician and politician. As a mathematician, he...
- In real analysis the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states: For a subset S of Euclidean space Rn, the following two statements...
- theory, a Borel subalgebra of a Lie algebra g {\displaystyle {\mathfrak {g}}} is a maximal solvable subalgebra. The notion is named after Armand Borel. If the...
- Borel space may refer to: any measurable space a measurable space that is Borel isomorphic to a measurable subset of the real numbers Standard Borel space...
- a standard Borel space is the Borel space ****ociated with a Polish space. Except in the case of discrete Polish spaces, the standard Borel space is unique...
- theory, the Borel–Cantelli lemma is a theorem about sequences of events. In general, it is a result in measure theory. It is named after Émile Borel and Francesco...
- in measure theory, a Borel measure on a topological space is a measure that is defined on all open sets (and thus on all Borel sets). Some authors require...